Solve 2(4x^2) - 2(3x - 2)

Question

Simplify the expression

8 x^{2} - 6 x + 4

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2 (4 x^{2} - 3 x + 2)

Show Solution

x_{1} = \frac{3}{8} - \frac{23}{8} i, x_{2} = \frac{3}{8} + \frac{23}{8} i

Alternative Form

x_{1} \approx 0.375 - 0.599479 i, x_{2} \approx 0.375 + 0.599479 i

Evaluate

2 (4 x^{2}) - 2 (3 x - 2)

To find the roots of the expression,set the expression equal to 0

2 (4 x^{2}) - 2 (3 x - 2) = 0

Multiply the terms

2 \times 4 x^{2} - 2 (3 x - 2) = 0

Multiply the numbers

8 x^{2} - 2 (3 x - 2) = 0

Calculate

More Steps

8 x^{2} - 6 x + 4 = 0

Substitute a= 8,b= - 6 and c= 4 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{6 \pm ( - 6 ) ^{2} - 4 \times 8 \times 4}{2 \times 8}

Simplify the expression

x = \frac{6 \pm ( - 6 ) ^{2} - 4 \times 8 \times 4}{16}

Simplify the expression

More Steps

x = \frac{6 \pm - 92}{16}

Simplify the radical expression

More Steps

x = \frac{6 \pm 2 23 \times i}{16}

Separate the equation into 2 possible cases

x = \frac{6 + 2 23 \times i}{16} x = \frac{6 - 2 23 \times i}{16}

Simplify the expression

More Steps

x = \frac{3}{8} + \frac{23}{8} i x = \frac{6 - 2 23 \times i}{16}

Simplify the expression

More Steps

x = \frac{3}{8} + \frac{23}{8} i x = \frac{3}{8} - \frac{23}{8} i

Solution

x_{1} = \frac{3}{8} - \frac{23}{8} i, x_{2} = \frac{3}{8} + \frac{23}{8} i

Alternative Form

x_{1} \approx 0.375 - 0.599479 i, x_{2} \approx 0.375 + 0.599479 i

Show Solution